Question

Which logarithmic graph can be used to approximate the value of y in the equation 2^y = 3?

Answer 1

http://assets.openstudy.com/updates/attachments/53e5437ee4b0e7ddacf67cf4-sophiagriffin-1407533986214-screenshot20140808at5.39.07pm.png

Answer 2

@johnweldon1993 @kohai @KyanTheDoodle @Loser66

Answer 3

@sasogeek

Answer 4

@Luigi0210 @Whitemonsterbunny17

Answer 5

Honestly, I have no idea.

Answer 6

it's alright @KyanTheDoodle , thank you

Answer 7

If the y was an x, do you know what the graph would look like?

Answer 8

No

Answer 9

Let's identify what we know. Is 2^y ever negative? Is it ever 0?

Answer 10

No

Answer 11

What happens as y gets larger? What happens when y is negative?

Answer 12

if it's negative the graph goes down i think and the exponent determines which way it goes,

Answer 13

With a larger and larger negative exponent, it gets closer and closer to 0.
With a larger and larger positive exponent, it gets larger and larger.

So, we're looking for the graph that never results in a negative x value. It gets closer to 0 with the larger negative y, and gets further and further from the y axis as y gets larger.

Which of the graphs follows this pattern?

Answer 14

I eliminated B and c because they look they're getting close to zero and D is increasing in y value but to the negative so i think the answer is "A"

Answer 15

A goes into the negative x values, so it can't be A. So does D.

Answer 16

Is B increasing in y value the most?

Answer 17

I'm not sure what you mean by that.

We're looking for the graph of the equation: 2^y

We know what this will do in certain situations (such as it will never go negative).
This means we can eliminate graphs A and D, as the line shown on there goes into negative X values.

Answer 18

After that, we can look at 2^1 = 2 and 2^0 = 1 to eliminate one of the other two graphs.

Answer 19

why did you have them to the ^1 and ^0

Answer 20

Those are the results when y = 1 and y = 0. We can see which graph of the remaining two goes through the correct points.

y = 0: 2^0 = 1
So we look for the point where x=1 and y=0, and see if the graph goes through that point.

Answer 21

i see that in C

Answer 22

i'm sorry for taking long my internet connection was slow

Answer 23

@Vandreigan

Answer 24

Yep, C. It follows all the patterns :)

Answer 25

alright, thank you so much for your help.. i appreciate it @Vandreigan

Answer 26

My pleasure :)